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Finding the Fourth Proportional to 14,002.68, 19,322.19 and 8,034.21

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Solution

The fourth proportional to 14,002.68, 19,322.19 and 8,034.21 is: 11,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.68 : 19,322.19 = 8,034.21 : x
  2. Step 2: Convert to fraction form
    14,002.68/19,322.19 = 8,034.21/x
  3. Step 3: Cross multiply
    14,002.68x = 19,322.19 × 8,034.21
  4. Step 4: Simplify right side
    14,002.68x = 155,238,532.12
  5. Step 5: Solve for x
    x = 155,238,532.12/14,002.68
  6. Step 6: Final answer
    x = 11,086.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.